Solve for x, y, z
x=5
y=1
z=-2
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x=3y-3z-4
Solve x-3y+3z=-4 for x.
2\left(3y-3z-4\right)+3y-z=15 4\left(3y-3z-4\right)-3y-z=19
Substitute 3y-3z-4 for x in the second and third equation.
y=\frac{7}{9}z+\frac{23}{9} z=\frac{9}{13}y-\frac{35}{13}
Solve these equations for y and z respectively.
z=\frac{9}{13}\left(\frac{7}{9}z+\frac{23}{9}\right)-\frac{35}{13}
Substitute \frac{7}{9}z+\frac{23}{9} for y in the equation z=\frac{9}{13}y-\frac{35}{13}.
z=-2
Solve z=\frac{9}{13}\left(\frac{7}{9}z+\frac{23}{9}\right)-\frac{35}{13} for z.
y=\frac{7}{9}\left(-2\right)+\frac{23}{9}
Substitute -2 for z in the equation y=\frac{7}{9}z+\frac{23}{9}.
y=1
Calculate y from y=\frac{7}{9}\left(-2\right)+\frac{23}{9}.
x=3\times 1-3\left(-2\right)-4
Substitute 1 for y and -2 for z in the equation x=3y-3z-4.
x=5
Calculate x from x=3\times 1-3\left(-2\right)-4.
x=5 y=1 z=-2
The system is now solved.
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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Limits
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